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// Copyright ©2016 The gonum Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
//+build !noasm,!appengine
#include "textflag.h"
// MOVDDUP X2, X3
#define MOVDDUP_X2_X3 BYTE $0xF2; BYTE $0x0F; BYTE $0x12; BYTE $0xDA
// MOVDDUP X4, X5
#define MOVDDUP_X4_X5 BYTE $0xF2; BYTE $0x0F; BYTE $0x12; BYTE $0xEC
// MOVDDUP X6, X7
#define MOVDDUP_X6_X7 BYTE $0xF2; BYTE $0x0F; BYTE $0x12; BYTE $0xFE
// MOVDDUP X8, X9
#define MOVDDUP_X8_X9 BYTE $0xF2; BYTE $0x45; BYTE $0x0F; BYTE $0x12; BYTE $0xC8
// ADDSUBPD X2, X3
#define ADDSUBPD_X2_X3 BYTE $0x66; BYTE $0x0F; BYTE $0xD0; BYTE $0xDA
// ADDSUBPD X4, X5
#define ADDSUBPD_X4_X5 BYTE $0x66; BYTE $0x0F; BYTE $0xD0; BYTE $0xEC
// ADDSUBPD X6, X7
#define ADDSUBPD_X6_X7 BYTE $0x66; BYTE $0x0F; BYTE $0xD0; BYTE $0xFE
// ADDSUBPD X8, X9
#define ADDSUBPD_X8_X9 BYTE $0x66; BYTE $0x45; BYTE $0x0F; BYTE $0xD0; BYTE $0xC8
// func AxpyUnitaryTo(dst []complex128, alpha complex64, x, y []complex128)
TEXT ·AxpyUnitaryTo(SB), NOSPLIT, $0
MOVQ dst_base+0(FP), DI // DI = &dst
MOVQ x_base+40(FP), SI // SI = &x
MOVQ y_base+64(FP), DX // DX = &y
MOVQ x_len+48(FP), CX // CX = min( len(x), len(y), len(dst) )
CMPQ y_len+72(FP), CX
CMOVQLE y_len+72(FP), CX
CMPQ dst_len+8(FP), CX
CMOVQLE dst_len+8(FP), CX
CMPQ CX, $0 // if CX == 0 { return }
JE caxy_end
MOVUPS alpha+24(FP), X0 // X0 = { imag(a), real(a) }
MOVAPS X0, X1
SHUFPD $0x1, X1, X1 // X1 = { real(a), imag(a) }
XORQ AX, AX // i = 0
MOVAPS X0, X10 // Copy X0 and X1 for pipelining
MOVAPS X1, X11
MOVQ CX, BX
ANDQ $3, CX // CX = n % 4
SHRQ $2, BX // BX = floor( n / 4 )
JZ caxy_tail // if BX == 0 { goto caxy_tail }
caxy_loop: // do {
MOVUPS (SI)(AX*8), X2 // X_i = { imag(x[i]), real(x[i]) }
MOVUPS 16(SI)(AX*8), X4
MOVUPS 32(SI)(AX*8), X6
MOVUPS 48(SI)(AX*8), X8
// X_(i+1) = { real(x[i], real(x[i]) }
MOVDDUP_X2_X3 // Load and duplicate imag elements (xi, xi)
MOVDDUP_X4_X5
MOVDDUP_X6_X7
MOVDDUP_X8_X9
// X_i = { imag(x[i]), imag(x[i]) }
SHUFPD $0x3, X2, X2 // duplicate real elements (xr, xr)
SHUFPD $0x3, X4, X4
SHUFPD $0x3, X6, X6
SHUFPD $0x3, X8, X8
// X_i = { real(a) * imag(x[i]), imag(a) * imag(x[i]) }
// X_(i+1) = { imag(a) * real(x[i]), real(a) * real(x[i]) }
MULPD X1, X2
MULPD X0, X3
MULPD X11, X4
MULPD X10, X5
MULPD X1, X6
MULPD X0, X7
MULPD X11, X8
MULPD X10, X9
// X_(i+1) = {
// imag(result[i]): imag(a)*real(x[i]) + real(a)*imag(x[i]),
// real(result[i]): real(a)*real(x[i]) - imag(a)*imag(x[i])
// }
ADDSUBPD_X2_X3
ADDSUBPD_X4_X5
ADDSUBPD_X6_X7
ADDSUBPD_X8_X9
// X_(i+1) = { imag(result[i]) + imag(y[i]), real(result[i]) + real(y[i]) }
ADDPD (DX)(AX*8), X3
ADDPD 16(DX)(AX*8), X5
ADDPD 32(DX)(AX*8), X7
ADDPD 48(DX)(AX*8), X9
MOVUPS X3, (DI)(AX*8) // y[i] = X_(i+1)
MOVUPS X5, 16(DI)(AX*8)
MOVUPS X7, 32(DI)(AX*8)
MOVUPS X9, 48(DI)(AX*8)
ADDQ $8, AX // i += 8
DECQ BX
JNZ caxy_loop // } while --BX > 0
CMPQ CX, $0 // if CX == 0 { return }
JE caxy_end
caxy_tail: // Same calculation, but read in values to avoid trampling memory
MOVUPS (SI)(AX*8), X2 // X_i = { imag(x[i]), real(x[i]) }
MOVDDUP_X2_X3 // X_(i+1) = { real(x[i], real(x[i]) }
SHUFPD $0x3, X2, X2 // X_i = { imag(x[i]), imag(x[i]) }
MULPD X1, X2 // X_i = { real(a) * imag(x[i]), imag(a) * imag(x[i]) }
MULPD X0, X3 // X_(i+1) = { imag(a) * real(x[i]), real(a) * real(x[i]) }
// X_(i+1) = {
// imag(result[i]): imag(a)*real(x[i]) + real(a)*imag(x[i]),
// real(result[i]): real(a)*real(x[i]) - imag(a)*imag(x[i])
// }
ADDSUBPD_X2_X3
// X_(i+1) = { imag(result[i]) + imag(y[i]), real(result[i]) + real(y[i]) }
ADDPD (DX)(AX*8), X3
MOVUPS X3, (DI)(AX*8) // y[i] = X_(i+1)
ADDQ $2, AX // i += 2
LOOP caxy_tail // } while --CX > 0
caxy_end:
RET